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14430240 = 2532511911
BaseRepresentation
bin110111000011…
…000000100000
31000011010120100
4313003000200
512143231430
61233142400
7233440446
oct67030040
930133510
1014430240
118166720
1249baa00
132cb3206
141cb8b96
151400960
hexdc3020

14430240 has 144 divisors (see below), whose sum is σ = 53778816. Its totient is φ = 3494400.

The previous prime is 14430217. The next prime is 14430271. The reversal of 14430240 is 4203441.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15385 + ... + 16295.

It is an arithmetic number, because the mean of its divisors is an integer number (373464).

Almost surely, 214430240 is an apocalyptic number.

14430240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14430240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26889408).

14430240 is an abundant number, since it is smaller than the sum of its proper divisors (39348576).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

14430240 is a wasteful number, since it uses less digits than its factorization.

14430240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 943 (or 932 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 14430240 is about 3798.7155724008. The cubic root of 14430240 is about 243.4582624065.

Adding to 14430240 its reverse (4203441), we get a palindrome (18633681).

The spelling of 14430240 in words is "fourteen million, four hundred thirty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 30 32 33 36 40 44 45 48 55 60 66 72 80 88 90 96 99 110 120 132 144 160 165 176 180 198 220 240 264 288 330 352 360 396 440 480 495 528 660 720 792 880 911 990 1056 1320 1440 1584 1760 1822 1980 2640 2733 3168 3644 3960 4555 5280 5466 7288 7920 8199 9110 10021 10932 13665 14576 15840 16398 18220 20042 21864 27330 29152 30063 32796 36440 40084 40995 43728 50105 54660 60126 65592 72880 80168 81990 87456 90189 100210 109320 120252 131184 145760 150315 160336 163980 180378 200420 218640 240504 262368 300630 320672 327960 360756 400840 437280 450945 481008 601260 655920 721512 801680 901890 962016 1202520 1311840 1443024 1603360 1803780 2405040 2886048 3607560 4810080 7215120 14430240